Answer:
The correct option is A
Explanation:
From the question we are told that
The mass number is
Generally the mean radius is mathematically evaluated as
Here is a constant with a value
So
Ur a genius if u explain how it’s A correctly
1 answer:
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Answer:
The new distance is d = 0.447 d₀
Explanation:
The electric out is given by Coulomb's Law
F = k q₁ q₂ / r²
This electric force is in balance with tension.
We reduce the charge of sphere B to 1/5 of its initial value (=q₂ = q₂ / 5) than new distance (d = n d₀)
dat
q₁ =
q₂ =
r = d₀
In order for the deviation to maintain the electric force it should not change, so we apply the Coulomb equation for the two points
F = k q₁ q₂ / d₀²
F = k q₁ (q₂ / 5) / (n d₀)²
.k q₁ q₂ / d₀² = q₁ q₂ / (5 n² d₀²)
5 n² = 1
n = √ 1/5
n = 0.447
The new distance is
d = 0.447 d₀
Answer:
Below
Explanation:
First draw the vectors that represent both electric fields.
E1 is the elictric field created by q1, E2 is the one created by q2.
● q1 is negative so E1 will point from P.
● q2 is positive so E2 will point out of P
(Picture below)
■■■■■■■■■■■■■■■■■■■■■■■■■■
The resulting electric field is equal to the sum of the two fields since both vectors are colinear.
Let E be the total field.
● E = E1 + E2
The formula of the electric field intensity is:
● E = K ×(q/d^2)
-K is Coulomb's constant
-d is the distance between the charge and the object ( here P)
-q is the charge
■■■■■■■■■■■■■■■■■■■■■■■■■■
● E1 = K × (q1/d1^2)
The distance between q1 and P is the qum of 0.15 m 0.25 m. (0.4 m)
Coulombs constant is 9×10^9 m^2/C^2
● E1 = 9×10^9 ×[-6.39 × 10^(-9)/ 0.4^2]
● E1 = -359.43 N/C
■■■■■■■■■■■■■■■■■■■■■■■■■■
● E2 = K ×(q2/d^2)
The distance between q2 and P is 0.25 m.
● E2 = 9×10^9×[3.22×10^(-9) /0.25^2]
● E2 = 463.68 N/C
■■■■■■■■■■■■■■■■■■■■■■■■■■
● E = E1 + E2
● E = -359.43+463.68
● E = 105.25 N/C
Case d) has the strongest gravitational force
Explanation:
The magnitude of the gravitational force between two objects is given by the equation:
where :
is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between the objects
a) For this pair of objects:
m1 = 10 kg
m2 = 2 kg
r = 30 km = 30,000 m
So the gravitational force is
b) For this pair of objects:
m1 = 10 kg
m2 = 10 kg
r = 30 km = 30,000 m
So the gravitational force is
c) For this pair of objects:
m1 = 2 kg
m2 = 2 kg
r = 10 km = 10,000 m
So the gravitational force is
d) For this pair of objects:
m1 = 10 kg
m2 = 10 kg
r = 10 km = 10,000 m
So the gravitational force is
Therefore, the strongest gravitational force is in case d).
Learn more about gravitational force:
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